Definition of grabby in English:

adjective (grabbier, grabbiest)

When trademark holders get greedy and grabby, we need to speak out, we need to protest - the important word in ‘intellectual property’ isn't property, it's intellectual.

This was supposed to be a caring decade in reaction to the grabby, selfish Eighties, but in fact it was the period when spin, gloss and make-over became words of excited approval, and led us to where we are today.

But I can see in her performances, interviews and general demeanour that she is still the loud, selfish, grabby person she was back then.